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Finding the Fourth Proportional to 5,580.84, 7,699.46 and 3,564.35

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Solution

The fourth proportional to 5,580.84, 7,699.46 and 3,564.35 is: 4,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.84 : 7,699.46 = 3,564.35 : x
  2. Step 2: Convert to fraction form
    5,580.84/7,699.46 = 3,564.35/x
  3. Step 3: Cross multiply
    5,580.84x = 7,699.46 × 3,564.35
  4. Step 4: Simplify right side
    5,580.84x = 27,443,513.93
  5. Step 5: Solve for x
    x = 27,443,513.93/5,580.84
  6. Step 6: Final answer
    x = 4,917.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.